Phase and TV based convex sets for blind deconvolution of microscopic images

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buir.contributor.authorÇetin, A. Enis
buir.contributor.orcidÇetin, A. Enis|0000-0002-3449-1958
dc.citation.epage91en_US
dc.citation.issueNumber1en_US
dc.citation.spage81en_US
dc.citation.volumeNumber10en_US
dc.contributor.authorTofighi M.en_US
dc.contributor.authorYorulmaz, O.en_US
dc.contributor.authorKöse K.en_US
dc.contributor.authorYıldırım, D. C.en_US
dc.contributor.authorÇetin-Atalay R.en_US
dc.contributor.authorÇetin, A. Enisen_US
dc.date.accessioned2018-04-12T10:43:01Z
dc.date.available2018-04-12T10:43:01Z
dc.date.issued2016en_US
dc.departmentDepartment of Molecular Biology and Geneticsen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractIn this paper, two closed and convex sets for blind deconvolution problem are proposed. Most blurring functions in microscopy are symmetric with respect to the origin. Therefore, they do not modify the phase of the Fourier transform (FT) of the original image. As a result blurred image and the original image have the same FT phase. Therefore, the set of images with a prescribed FT phase can be used as a constraint set in blind deconvolution problems. Another convex set that can be used during the image reconstruction process is the Epigraph Set of Total Variation (ESTV) function. This set does not need a prescribed upper bound on the Total Variation (TV) of the image. The upper bound is automatically adjusted according to the current image of the restoration process. Both the TV of the image and the blurring filter are regularized using the ESTV set. Both the phase information set and the ESTV are closed and convex sets. Therefore they can be used as a part of any blind deconvolution algorithm. Simulation examples are presented.en_US
dc.identifier.doi10.1109/JSTSP.2015.2502541en_US
dc.identifier.issn1932-4553
dc.identifier.urihttp://hdl.handle.net/11693/36518
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/JSTSP.2015.2502541en_US
dc.source.titleIEEE Journal on Selected Topics in Signal Processingen_US
dc.subjectBlind deconvolutionen_US
dc.subjectEpigraph setsen_US
dc.subjectInverse problemsen_US
dc.subjectProjection onto convex setsen_US
dc.titlePhase and TV based convex sets for blind deconvolution of microscopic imagesen_US
dc.typeArticleen_US
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